MathDB

Functional Equation

Source:

March 2, 2008

function

Problem Statement

The function

f

satisfies f(x) \plus{} f(2x \plus{} y) \plus{} 5xy \equal{} f(3x \minus{} y) \plus{} 2x^2 \plus{} 1 for all real numbers

x

y

. Determine the value of

f(10)